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Finding the Fourth Proportional to 2,914.48, 4,017.20 and 2,283.98

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Solution

The fourth proportional to 2,914.48, 4,017.20 and 2,283.98 is: 3,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.48 : 4,017.20 = 2,283.98 : x
  2. Step 2: Convert to fraction form
    2,914.48/4,017.20 = 2,283.98/x
  3. Step 3: Cross multiply
    2,914.48x = 4,017.20 × 2,283.98
  4. Step 4: Simplify right side
    2,914.48x = 9,175,204.46
  5. Step 5: Solve for x
    x = 9,175,204.46/2,914.48
  6. Step 6: Final answer
    x = 3,148.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.